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answer any one question :(ii) if sin^(-1...

answer any one question :(ii) if `sin^(-1) x=tan^(-1)y` , then show that `1/x^2 -1/y^2 =1` .

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UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2018-EXERCISE
  1. The principal value of tan^(-1)(-sqrt3) is

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  2. 1 (a) answer any one question :(i) suppose IR be the set of all real ...

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  3. answer any one question :(ii) if sin^(-1) x=tan^(-1)y , then show that...

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  4. (b) answer any one question : (i) prove that |[1,a,a^2],[1,b,b^2],[1,...

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  5. answer any one question A=[[1,0],[-1,7]] and I be the unit matrix of s...

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  6. (c)answer any three questions: (i) if the function , f(x)={((1- cos(ax...

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  7. If xsqrt(1+y)+ysqrt(1+x)=0, prove that dy/dx=(-1)/((1+x)^2

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  8. answer any three questions: (iii) if x>0 ,y>0 and xy=25, then find the...

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  9. answer any three questions: (iv) a particle moves along the parabola y...

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  10. verify lagrange's mean value of theorem in the interval 4lexle6 for fu...

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  11. int (e^x (1+x))/(cos^2(xe^x)) dx is

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  12. (d) answer any one question : (i) if the three vectors vec a, vec b, v...

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  13. answer any one question : (ii) find the equation of the plane passing ...

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  14. e) answer any one question : (i) if P(A/B)=0.8 , P(B/A)=0.6 and P(A^c ...

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  15. answer any one question : (ii) an unbiased coin is tossed 6 times . Us...

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  16. A relation R is defined on the set of natural numbers N as follows: R=...

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  17. answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...

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  18. (b) answer the foll. Questions: (i) express the matrix A=[[3,2,3],[4,5...

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  19. if |[x-1,1,1],[1,x+1,-1],[-1,1,x+1]| =0 , find the value of x.

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  20. answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then ...

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